{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:B737WMFV4QJJOJBAPNYCT4PD5J","short_pith_number":"pith:B737WMFV","canonical_record":{"source":{"id":"0907.3273","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2009-07-19T08:48:03Z","cross_cats_sorted":[],"title_canon_sha256":"eb0d817db8e18f23db18e582f6ff982d179de86ea4862e0a558d65864f6dd8d7","abstract_canon_sha256":"e9a0661316cef4033293b1ef5de6fd59d82526ec4c854a0ef74f58f1da2947ee"},"schema_version":"1.0"},"canonical_sha256":"0ff7fb30b5e4129724207b7029f1e3ea4dcc2e0e5ada2f206ddcd17c0442935e","source":{"kind":"arxiv","id":"0907.3273","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3273","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3273v2","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3273","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"pith_short_12","alias_value":"B737WMFV4QJJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"B737WMFV4QJJOJBA","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"B737WMFV","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:B737WMFV4QJJOJBAPNYCT4PD5J","target":"record","payload":{"canonical_record":{"source":{"id":"0907.3273","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2009-07-19T08:48:03Z","cross_cats_sorted":[],"title_canon_sha256":"eb0d817db8e18f23db18e582f6ff982d179de86ea4862e0a558d65864f6dd8d7","abstract_canon_sha256":"e9a0661316cef4033293b1ef5de6fd59d82526ec4c854a0ef74f58f1da2947ee"},"schema_version":"1.0"},"canonical_sha256":"0ff7fb30b5e4129724207b7029f1e3ea4dcc2e0e5ada2f206ddcd17c0442935e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:45.843476Z","signature_b64":"ihbW08AQUZiLbfVy1ldso2nvM+WFj5Nl2qUphdUJfSNC7ntF5Fu4iZ1otSi5lO56qrc8e5/hT8GGFDD6rm+FBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ff7fb30b5e4129724207b7029f1e3ea4dcc2e0e5ada2f206ddcd17c0442935e","last_reissued_at":"2026-05-18T04:28:45.843090Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:45.843090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.3273","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:28:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZWhp8fMhTUmgA0wnbEZF+AhgGOMMbQoICdr7gfqiRnvNkCzj3l8P07yRQjuEfTApXqtc+DC9czWkfaUhIG+NBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:18:59.733820Z"},"content_sha256":"8fa88609192d17723dc0958a0fb58a938ef8b08be0e19f43e6d3fd1f6d80c721","schema_version":"1.0","event_id":"sha256:8fa88609192d17723dc0958a0fb58a938ef8b08be0e19f43e6d3fd1f6d80c721"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:B737WMFV4QJJOJBAPNYCT4PD5J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New procedures for testing whether stock price processes are martingales","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.ST","authors_text":"Akimichi Takemura, Kei Takeuchi, Masayuki Kumon","submitted_at":"2009-07-19T08:48:03Z","abstract_excerpt":"We propose procedures for testing whether stock price processes are martingales based on limit order type betting strategies. We first show that the null hypothesis of martingale property of a stock price process can be tested based on the capital process of a betting strategy. In particular with high frequency Markov type strategies we find that martingale null hypotheses are rejected for many stock price processes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3273","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:28:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"66RF5twLRXmHXvm+z/mXPT8pA8JgldfS7vwFwHyTu/zfjU0QM7o4lUEB3BfZipUnly2DIFXJZMWQVqXkvszUBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T19:18:59.734166Z"},"content_sha256":"2aaf998a75fd9c8c4b1641cc8ccb3580068c4baff0c966ad686cc13bed10cab8","schema_version":"1.0","event_id":"sha256:2aaf998a75fd9c8c4b1641cc8ccb3580068c4baff0c966ad686cc13bed10cab8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B737WMFV4QJJOJBAPNYCT4PD5J/bundle.json","state_url":"https://pith.science/pith/B737WMFV4QJJOJBAPNYCT4PD5J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B737WMFV4QJJOJBAPNYCT4PD5J/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-04T19:18:59Z","links":{"resolver":"https://pith.science/pith/B737WMFV4QJJOJBAPNYCT4PD5J","bundle":"https://pith.science/pith/B737WMFV4QJJOJBAPNYCT4PD5J/bundle.json","state":"https://pith.science/pith/B737WMFV4QJJOJBAPNYCT4PD5J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B737WMFV4QJJOJBAPNYCT4PD5J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:B737WMFV4QJJOJBAPNYCT4PD5J","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"e9a0661316cef4033293b1ef5de6fd59d82526ec4c854a0ef74f58f1da2947ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2009-07-19T08:48:03Z","title_canon_sha256":"eb0d817db8e18f23db18e582f6ff982d179de86ea4862e0a558d65864f6dd8d7"},"schema_version":"1.0","source":{"id":"0907.3273","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.3273","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"arxiv_version","alias_value":"0907.3273v2","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.3273","created_at":"2026-05-18T04:28:45Z"},{"alias_kind":"pith_short_12","alias_value":"B737WMFV4QJJ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"B737WMFV4QJJOJBA","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"B737WMFV","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:2aaf998a75fd9c8c4b1641cc8ccb3580068c4baff0c966ad686cc13bed10cab8","target":"graph","created_at":"2026-05-18T04:28:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We propose procedures for testing whether stock price processes are martingales based on limit order type betting strategies. We first show that the null hypothesis of martingale property of a stock price process can be tested based on the capital process of a betting strategy. In particular with high frequency Markov type strategies we find that martingale null hypotheses are rejected for many stock price processes.","authors_text":"Akimichi Takemura, Kei Takeuchi, Masayuki Kumon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2009-07-19T08:48:03Z","title":"New procedures for testing whether stock price processes are martingales"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.3273","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8fa88609192d17723dc0958a0fb58a938ef8b08be0e19f43e6d3fd1f6d80c721","target":"record","created_at":"2026-05-18T04:28:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"e9a0661316cef4033293b1ef5de6fd59d82526ec4c854a0ef74f58f1da2947ee","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.ST","submitted_at":"2009-07-19T08:48:03Z","title_canon_sha256":"eb0d817db8e18f23db18e582f6ff982d179de86ea4862e0a558d65864f6dd8d7"},"schema_version":"1.0","source":{"id":"0907.3273","kind":"arxiv","version":2}},"canonical_sha256":"0ff7fb30b5e4129724207b7029f1e3ea4dcc2e0e5ada2f206ddcd17c0442935e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ff7fb30b5e4129724207b7029f1e3ea4dcc2e0e5ada2f206ddcd17c0442935e","first_computed_at":"2026-05-18T04:28:45.843090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:45.843090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ihbW08AQUZiLbfVy1ldso2nvM+WFj5Nl2qUphdUJfSNC7ntF5Fu4iZ1otSi5lO56qrc8e5/hT8GGFDD6rm+FBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:45.843476Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.3273","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fa88609192d17723dc0958a0fb58a938ef8b08be0e19f43e6d3fd1f6d80c721","sha256:2aaf998a75fd9c8c4b1641cc8ccb3580068c4baff0c966ad686cc13bed10cab8"],"state_sha256":"3dec826c68e99d2119febbd5904839c9e03a073328b7af080ee9800fb7c172ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6CnG3URzpcNdtM6ZJf8DtQTzCS1qVIT0EIkYnvlkUc7BDzk7fY3eo1pCW/9aUohO90wSkJOkOHfy2H8nXrcmAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T19:18:59.736071Z","bundle_sha256":"f1f5aea16c75aa52033044e6c6adc1484e2668b2a4f42eb9094f4f306df2913d"}}